An economy is characterized by the production functionY = A (K^a
) (L^(1-a) ). The capital share of output is 50%, the depreciation
rate is 10%, the investment rate is 10%, the technology constant is
6 and the labor force is 36.
So: Y = A (K^a ) (L^(1-a) ) simplifies to Y = 36K^0.5 and I =
3.6K^0.5 (Remember that X^0.5 = X^½ = √X)
What is the steady state level of capital? Show your work.